I just started graph theory and lost?

I understand what a basic graph is and how you find the degree of the graph, but after that I am lost. I need help understanding this question:

Explain how you would approach the problem described using graph theory. In your discussion, describe how you would model the problem, including what items would be represented by the vertices and edges of a graph and how you would determine how each edge is directed. (You do not have to describe the directedness of each edge.) Also provide an account of your strategy—how you would solve the problem. Then solve the problem and provide the solution, including the values that constitute the sum of entries in the table translating wins to one- and two-stage domination for each player.

In a round-robin singles pool tournament, each of six competitors plays each other once. The results of the tournament are shown in the following table.

Use a directed graph to model this situation and determine a ranking order for the players using one- and two-stage dominance. Then solve the problem and provide the solution, including the values that constitute the sum of entries in the table translating wins to one- and two-stage domination for each player. You don't need to submit the directed graph as a part of your answer